Multiply and reduce.
\[
\frac{4}{15} \times \frac{25}{16}
\]
Final Answer: \(\boxed{\frac{5}{12}}\)
Step 1 :Multiply the numerators together to get the numerator of the product, and multiply the denominators together to get the denominator of the product. So, \(\frac{4}{15} \times \frac{25}{16} = \frac{100}{240}\).
Step 2 :Reduce the fraction to its simplest form. So, \(\frac{100}{240} = \frac{5}{12}\).
Step 3 :The product of the two fractions is \(\frac{5}{12}\). This is the simplest form of the fraction, so no further reduction is necessary.
Step 4 :Final Answer: \(\boxed{\frac{5}{12}}\)